Skip to main content

Advertisement

Log in

Student Motivation and Learning in Mathematics and Science: A Cluster Analysis

  • Published:
International Journal of Science and Mathematics Education Aims and scope Submit manuscript

Abstract

The present study focused on an in-depth understanding of student motivation and self-regulated learning in mathematics and science through cluster analysis. It examined the different learning profiles of motivational beliefs and self-regulatory strategies in relation to perceived teacher autonomy support, basic psychological needs (i.e. autonomy, competence, and relatedness), motivational regulations, and academic achievement. Grounded in self-determination theory, this study examined the learning profiles of 782 students from eight secondary schools in Singapore. The cluster analyzes revealed four distinct learning profiles, and they were compared in association with perceived teacher autonomy support, needs satisfaction, motivational regulations, and grades. Cluster profiling enables teachers to have better understanding of their students’ self-regulated learning so that they can apply effective teaching strategies to foster their motivation. The findings offer a perspective to secondary students’ psychological needs along with some insights into their perceived task value and self-efficacy in the contexts of mathematics and science.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1

Similar content being viewed by others

References

  • Ahmed, W., van der Werf, G., Kuyper, H. & Minnaert, A. (2013). Emotions, self-regulated learning, and achievement in mathematics: A growth curve analysis. Journal of Educational Psychology, 105(1), 150–161.

    Article  Google Scholar 

  • Andersen, L. & Cross, T. L. (2014). Are students with high ability in math more motivated in math and science than other students? Roeper Review, 36(4), 221–234.

    Article  Google Scholar 

  • Barth, J., McCallum, D. M., Todd, B., Guadagno, R. E., Roskos, B., Burkhalter, C., & Goldston, M. J. (2011). Effects of engaging classroom strategies and teacher support on student outcomes over school transitions (Paper No. AC 2011-2446). Retrieved from American Society for Engineering Education Website: http://www.asee.org/.

  • Berg, C. A. R., Bergendahl, C. B., Lundberg, B. K. S. & Tibell, L. A. E. (2003). Benefiting from an open-ended experiment? A comparison of attitudes to, and outcomes of, an expository versus an open-inquiry version of the same experiment. International Journal of Science Education, 25(3), 351–372.

    Article  Google Scholar 

  • Berger, J. L. (2012). Uncovering vocational students’ multiple goal profiles in the learning of professional mathematics: Differences in learning strategies, motivational beliefs and cognitive abilities. Educational Psychology: An International Journal of Experimental Educational Psychology, 32(4), 405–425.

    Article  Google Scholar 

  • Berger, J. L. & Karabenick, S. A. (2011). Motivation and students’ use of learning strategies: Evidence of unidirectional effects in mathematics classrooms. Learning and Instruction, 21(3), 416–428.

    Article  Google Scholar 

  • Bong, M. (2005). Within-grade changes in Korean girls’ motivation and perceptions of the learning environment across domains and achievement levels. Journal of Educational Psychology, 97(4), 656–672.

    Article  Google Scholar 

  • Borgen, F. H. & Barnett, D. C. (1987). Applying cluster analysis in counseling psychology research. Journal of Counseling Psychology, 34(4), 456–468.

    Article  Google Scholar 

  • Chinn, C. A. & Malhotra, B. A. (2002). Epistemologically authentic inquiry in schools: A theoretical framework for evaluating inquiry tasks. Science Education, 86(2), 175–218.

    Article  Google Scholar 

  • Cleary, T. J. & Zimmerman, B. J. (2004). Self-regulation empowerment program: A school-based program to enhance self-regulated and self-motivated cycles of student learning. Psychology in the Schools, 41(5), 537–550.

    Article  Google Scholar 

  • Corno, L. & Rohrkemper, M. (1985). The intrinsic motivation to learn in classrooms. In C. Ames & R. Ames (Eds.), Research on motivation: The classroom milieu (Vol. 2, pp. 53–90). New York, NY: Academic.

    Google Scholar 

  • Davis, H. A. (2003). Conceptualizing the role and influence of student–teacher relationships on children’s social and cognitive development. Educational Psychologist, 38(4), 207–234.

    Article  Google Scholar 

  • Deci, E. L. & Ryan, R. M. (1985). Intrinsic motivation and self-determination in human behavior. New York, NY: Plenum.

    Book  Google Scholar 

  • Deci, E. L. & Ryan, R. M. (2000). The “what” and “why” of goal pursuits: Human needs and the self-determination of behavior. Psychological Inquiry, 11(4), 227–268.

    Article  Google Scholar 

  • Deci, E. L., Vallerand, R. J., Pelletier, L. G., & Ryan, R. M. (1991). Motivation and education: The self-determination perspective. Educational Psychologist, 26(3–4), 325–346.

    Article  Google Scholar 

  • Duncan, T. G. & McKeachie, W. J. (2005). The making of the motivated strategies for learning questionnaire. Educational Psychologist, 40(2), 117–128.

    Article  Google Scholar 

  • Furtak, E. M. & Kunter, M. (2012). Effects of autonomy-supportive teaching on student learning and motivation. The Journal of Experimental Education, 80(3), 284–316.

    Article  Google Scholar 

  • Gagné, M. & Deci, E. L. (2005). Self‐determination theory and work motivation. Journal of Organizational Behavior, 26(4), 331–362.

    Article  Google Scholar 

  • Grice, J. W. & Iwasaki, M. (2007). A truly multivariate approach to MANOVA. Applied Multivariate Research, 12(3), 199–226.

    Google Scholar 

  • Griggs, M. S., Rimm-Kaufman, S. E., Merritt, E. G., & Patton, C. L. (2013). The responsive classroom approach and fifth grade students’ math and science anxiety and self-efficacy. School Psychology Quarterly, 28(4), 360–373.

    Article  Google Scholar 

  • Hadwin, A. F., Winne, P. H., Stockley, D. B., Nesbit, J. C., & Woszczyna, C. (2001). Context moderates students’ self-reports about how they study. Journal of Educational Psychology, 93(3), 477–487.

    Article  Google Scholar 

  • Hargreaves, A. (2012). Singapore: The fourth way in action? Educational Research for Policy and Practice, 11(1), 7–17.

    Article  Google Scholar 

  • Hargreaves, A. & Shirley, D. (Eds.). (2009). The fourth way: The inspiring future for educational change. Thousand Oaks, CA: Sage.

    Google Scholar 

  • Hayenga, A. O. & Corpus, J. H. (2010). Profiles of intrinsic and extrinsic motivations: A person-centered approach to motivation and achievement in middle school. Motivation and Emotion, 34(4), 371–383.

    Article  Google Scholar 

  • Hung, D., Ng, P. T., Koh, T. S., & Lim, S. H. (2009). The social practice of learning: A craft for the 21st century. Asia Pacific Education Review, 10(2), 205–214.

    Article  Google Scholar 

  • Jang, H., Kim, E. J., & Reeve, J. (2012). Longitudinal test of self-determination theory’s motivation mediation model in a naturally occurring classroom context. Journal of Educational Psychology, 104(4), 1175–1188.

    Article  Google Scholar 

  • Jang, H., Reeve, J., & Deci, E. L. (2010). Engaging students in learning activities: It is not autonomy support or structure but autonomy support and structure. Journal of Educational Psychology, 102(3), 588–600.

    Article  Google Scholar 

  • Jiang, Y. H., Yau, J., Bonner, P., & Chiang, L. (2011). The role of perceived parental autonomy support in academic achievement of Asian and Latino American adolescents. Electronic Journal of Research in Educational Psychology, 9(2), 497–522.

    Google Scholar 

  • Kim, C., Park, S. W., & Cozart, J. (2013). Affective and motivational factors of learning in online mathematics courses. British Journal of Educational Technology, 35(2), 289–311.

    Google Scholar 

  • Kim, M., Tan, A. L., & Talaue, F. T. (2013). New vision and challenges in inquiry-based curriculum change in Singapore. International Journal of Science Education, 35(2), 289–311.

    Article  Google Scholar 

  • Levesque, C., Zuehlke, A. N., Stanek, L. R., & Ryan, R. M. (2004). Autonomy and competence in German and American university students: A comparative study based on self-determination theory. Journal of Educational Psychology, 96(1), 68–84.

    Article  Google Scholar 

  • Liu, W. C., Wang, C. K. J., Kee, Y. H., Koh, C., Lim, B. S. C., & Chua, L. (2014). College students’ motivation and learning strategies profiles and academic achievement: A self-determination theory approach. Educational Psychology, 34(3), 338--353.

  • Malpass, J. R., O’Neil, H. F., & Hocevar, D., Jr. (1999). Self‐regulation, goal orientation, self‐efficacy, worry, and high‐stakes math achievement for mathematically gifted high school students. Roeper Review, 21(4), 281–288.

  • Mouratidis, A., Vansteenkiste, M., Lens, W., & Sideridis, G. (2008). The motivating role of positive feedback in sport and physical education: Evidence for a motivational model. Journal of Sport & Exercise Psychology, 30(2), 240–268.

    Article  Google Scholar 

  • Ng, P. T. (2010). The evolution and nature of school accountability in the Singapore education system. Educational Assessment, Evaluation and Accountability, 22(4), 275–292.

    Article  Google Scholar 

  • Pajares, F. & Graham, L. (1999). Self-efficacy, motivation constructs, and mathematics performance of entering middle school students. Contemporary Educational Psychology, 24(2), 124–139.

    Article  Google Scholar 

  • Pintrich, P. R. (2000). An achievement goal theory perspective on issues in motivation terminology, theory, and research. Contemporary Educational Psychology, 25(1), 92–104.

    Article  Google Scholar 

  • Pintrich, P. R. (2004). A conceptual framework for assessing motivation and self-regulated learning in college students. Educational Psychology Review, 16(4), 385–407.

    Article  Google Scholar 

  • Pintrich, P. R. & De Groot, E. V. (1990). Motivational and self-regulated learning components of classroom academic performance. Journal of Educational Psychology, 82(1), 33–40.

    Article  Google Scholar 

  • Pintrich, P. R. & Garcia, T. (1991). Student goal orientation and self-regulation in the college classroom. Advances in Motivation and Achievement: Goals and Self-Regulatory Processes, 7, 371–402.

  • Pintrich, P. R., Smith, D. A., García, T., & McKeachie, W. J. (1993). Reliability and predictive validity of the motivated strategies for learning questionnaire (MSLQ). Educational and Psychological Measurement, 53(3), 801–813.

    Article  Google Scholar 

  • Plenty, S. & Heubeck, B. G. (2013). A multidimensional analysis of changes in mathematics motivation and engagement during high school. Educational Psychology, 33(1), 14–30.

    Article  Google Scholar 

  • Reeve, J. (2002). Self-determination theory applied to educational settings. In E. Deci & R. M. Ryan (Eds.), Handbook of self-determination research (pp. 183–203). Rochester, NY: University of Rochester Press.

    Google Scholar 

  • Reeve, J. (2009). Why teachers adopt a controlling motivating style toward students and how they can become more autonomy supportive. Educational Psychologist, 44(3), 159–175.

    Article  Google Scholar 

  • Reeve, J., Jang, H., Carrell, D., Jeon, S., & Barch, J. (2004). Enhancing students’ engagement by increasing teachers’ autonomy support. Motivation and Emotion, 28(2), 147–169.

    Article  Google Scholar 

  • Richardson, J. T. (2011). Eta squared and partial eta squared as measures of effect size in educational research. Educational Research Review, 6(2), 135–147.

    Article  Google Scholar 

  • Roth, G., Assor, A., Kanat-Maymon, Y. & Kaplan, H. (2007). Autonomous motivation for teaching: How self-determined teaching may lead to self-determined learning. Journal of Educational Psychology, 99(4), 761–774.

    Article  Google Scholar 

  • Ryan, R. M. & Connell, J. P. (1989). Perceived locus of causality and internalization: Examining reasons for acting in two domains. Journal of Personality and Social Psychology, 57(5), 749–761.

    Article  Google Scholar 

  • Ryan, R. M., Connell, J. P., & Deci, E. L. (1985). A motivational analysis of self-determination and self-regulation in education. In C. Ames & R. E. Ames (Eds.), Research on motivation in education: The classroom milieu (pp. 13–51). New York, NY: Academic.

    Google Scholar 

  • Ryan, R. M. & Deci, E. L. (2000). Self-determination theory and the facilitation of intrinsic motivation, social development, and well-being. American Psychologist, 55(1), 68–78.

    Article  Google Scholar 

  • Ryan, R. M. & Niemiec, C. P. (2009). Self-determination theory in schools of education: Can an empirically supported framework also be critical and liberating? Theory and Research in Education, 7(2), 263–272.

    Article  Google Scholar 

  • Schlomer, G. L., Bauman, S., & Card, N. A. (2010). Best practices for missing data management in counseling psychology. Journal of Counseling Psychology, 57(1), 1–10.

    Article  Google Scholar 

  • Shivpuri, S., Schmitt, N., Oswald, F. L. & Kim, B. H. (2006). Individual differences in academic growth: Do they exist, and can we predict them? Journal of College Student Development, 47(1), 69–86.

    Article  Google Scholar 

  • Sierens, E., Vansteenkiste, M., Goossens, L., Soenens, B., & Dochy, F. (2009). The synergistic relationship of perceived autonomy support and structure in the prediction of self‐regulated learning. British Journal of Educational Psychology, 79(1), 57–68.

    Article  Google Scholar 

  • Soenens, B. & Vansteenkiste, M. (2005). Antecedents and outcomes of self-determination in 3 life domains: The role of parents’ and teachers’ autonomy support. Journal of Youth and Adolescence, 34(6), 589–604.

    Article  Google Scholar 

  • Stefanou, C. R., Perencevich, K. C., DiCintio, M., & Turner, J. C. (2004). Supporting autonomy in the classroom: Ways teachers encourage student decision making and ownership. Educational Psychologist, 39(2), 97–110.

    Article  Google Scholar 

  • Suárez Riveiro, J. M., Cabanach, R. G., & Arias, A. V. (2001). Multiple‐goal pursuit and its relation to cognitive, self‐regulatory, and motivational strategies. British Journal of Educational Psychology, 71(4), 561–572.

    Article  Google Scholar 

  • Tabachnick, B. G. & Fidell, L. S. (2007). Multivariate analysis of variance and covariance. Using multivariate statistics. Boston, MA: Allyn & Bacon.

    Google Scholar 

  • Taboada, A., Kidd, J. K., & Tonks, S. M. (2010). English language learners’ perceptions of autonomy support in a literacy classroom. Research in the Schools, 17(2), 39–53.

    Google Scholar 

  • Tang, M. & Neber, H. (2008). Motivation and self‐regulated science learning in high‐achieving students: Differences related to nation, gender, and grade‐level. High Ability Studies, 19(2), 103–116.

    Article  Google Scholar 

  • Tessier, D., Sarrazin, P., & Ntoumanis, N. (2010). The effect of an intervention to improve newly qualified teachers’ interpersonal style, students’ motivation and psychological need satisfaction in sport-based physical education. Contemporary Educational Psychology, 35(4), 242–253.

    Article  Google Scholar 

  • Vansteenkiste, M., Sierens, E., Soenens, B., Luyckx, K., & Lens, W. (2009). Motivational profiles from a self-determination perspective: The quality of motivation matters. Journal of Educational Psychology, 101(3), 671–688.

    Article  Google Scholar 

  • Vedder‐Weiss, D. & Fortus, D. (2012). Adolescents’ declining motivation to learn science: A follow‐up study. Journal of Research in Science Teaching, 49(9), 1057–1095.

    Article  Google Scholar 

  • von Eye, A. & Bogat, G. A. (2006). Person-oriented and variable-oriented research: Concepts, results, and development. Merrill-Palmer Quarterly, 52(3), 390–420.

    Article  Google Scholar 

  • Wang, C. K. J., & Biddle, S. J. (2001). Young people’s motivational profiles in physical activity: A cluster analysis. Journal of Sport & Exercise Psychology, 23, 1--22.

  • Williams, G. C. & Deci, E. L. (1996). Internalization of biopsychosocial values by medical students: A test of self-determination theory. Journal of Personality and Social Psychology, 70(4), 767–779.

    Article  Google Scholar 

  • Woods-McConney, A., Oliver, M. C., McConney, A., Maor, D. & Schibeci, R. (2013). Science engagement and literacy: A retrospective analysis for indigenous and non-indigenous students in Aotearoa New Zealand and Australia. Research in Science Education, 43(1), 233–252.

    Article  Google Scholar 

  • Yin, H., Lee, J. C. K. & Zhang, Z. (2009). Examining Hong Kong students’ motivational beliefs, strategy use and their relations with two relational factors in classrooms. Educational Psychology: An International Journal of Experimental Educational Psychology, 29(6), 685–700.

    Article  Google Scholar 

  • Yoon, C.-H. (2009). Self-Regulated learning and instructional factors in the scientific inquiry of scientifically gifted Korean middle school students. Gifted Child Quarterly, 53(30), 203–216.

    Article  Google Scholar 

  • Zeidner, M. (1995). Coping with examination stress: Resources, strategies, outcomes. Anxiety, Stress, and Coping, 8(4), 279–298.

    Article  Google Scholar 

  • Zimmerman, B. J. & Schunk, D. H. (2008). An essential dimension of self-regulated learning. Motivation and self-regulated learning: Theory, research, & applications. New York, NY: Taylor & Francis.

    Google Scholar 

  • Zusho, A., Pintrich, P. R., & Coppola, B. (2003). Skill and will: The role of motivation and cognition in the learning of college chemistry. International Journal of Science Education, 25(9), 1081–1094.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Betsy L. L. Ng.

Electronic supplementary material

Below is the link to the electronic supplementary material.

ESM 1

(DOCX 24 kb)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ng, B.L.L., Liu, W.C. & Wang, J.C.K. Student Motivation and Learning in Mathematics and Science: A Cluster Analysis. Int J of Sci and Math Educ 14, 1359–1376 (2016). https://doi.org/10.1007/s10763-015-9654-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10763-015-9654-1

Keywords

Navigation